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Finding the Fourth Proportional to 26,600.83, 39,907.08 and 7,882.34

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Solution

The fourth proportional to 26,600.83, 39,907.08 and 7,882.34 is: 11,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,600.83 : 39,907.08 = 7,882.34 : x
  2. Step 2: Convert to fraction form
    26,600.83/39,907.08 = 7,882.34/x
  3. Step 3: Cross multiply
    26,600.83x = 39,907.08 × 7,882.34
  4. Step 4: Simplify right side
    26,600.83x = 314,561,172.97
  5. Step 5: Solve for x
    x = 314,561,172.97/26,600.83
  6. Step 6: Final answer
    x = 11,825.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.